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Finding the Fourth Proportional to 17,540.66, 24,208.18 and 9,988.80

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Solution

The fourth proportional to 17,540.66, 24,208.18 and 9,988.80 is: 13,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.66 : 24,208.18 = 9,988.80 : x
  2. Step 2: Convert to fraction form
    17,540.66/24,208.18 = 9,988.80/x
  3. Step 3: Cross multiply
    17,540.66x = 24,208.18 × 9,988.80
  4. Step 4: Simplify right side
    17,540.66x = 241,810,668.38
  5. Step 5: Solve for x
    x = 241,810,668.38/17,540.66
  6. Step 6: Final answer
    x = 13,785.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.